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2 years ago

7

I need help with this assignment

1 answer:

gulaghasi [49]2 years ago

3 0

Answer:

ℂ:

3 7, 6 2, 4 8, 5 1

()

4 6, 3 5

()

1 7, 2 8

{ᴛʜᴇ ɴᴜᴍʙᴇʀ 10, ɪ ᴀʟsᴏ ᴅᴏɴᴛ ᴋɴᴏᴡ.. sᴏʀʀʏ}

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Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6.

Licemer1 [7]

(8.4 / 6) + 3.2

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2 years ago

There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl

insens350 [35]

We're told that

$P(A\cap B)=0.15$

$P(A\cup B)^C=0.06\implies P(A\cup B)=0.94$

$P(B\mid A)=P(B^C\mid A)=0.5$

where the last fact is due to the law of total probability:

$P(A)=P(A\cap B)+P(A\cap B^C)$

$\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)$

$\implies 1=P(B\mid A)+P(B^C\mid A)$

so that $B\mid A$ and $B^C\mid A$ are complementary.

By definition of conditional probability, we have

$P(B\mid A)=P(B^C\mid A)$

$\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}$

$\implies P(A\cap B)=P(A\cap B^C)$

We make use of the addition rule and complementary probabilities to rewrite this as

$P(A\cap B)=P(A\cap B^C)$

$\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)$

$\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)$

$\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]$

$\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]$

$\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C$

$\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)$

By the law of total probability,

$P(B)=P(A\cap B)+P(A^C\cap B)$

$\implies P(A^C\cap B)=P(B)-P(A\cap B)$

and substituting this into $(*)$ gives

$2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]$

$\implies P(B)=P(A\cup B)-P(A\cap B)$

$\implies P(B)=0.94-0.15=\boxed{0.79}$

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2 years ago

Determine the slope of the line that passes through the points (-4, 6) and (0,4).

gavmur [86]

Answer:

B.) $m=-\frac{1}{2}$

Step-by-step explanation:

use the slope rule

$\frac{rise}{run} \\\\\\frac{y2-y1}{x2-x1}$

Fill in values

$\frac{4-6}{0-(-4)}$

Simplify

$\frac{-2}{4}\\-\frac{2}{4}$

Simplify further

$m=-\frac{1}{2}$

Done.

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2 years ago

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vfiekz [6]

The length of the base 3 times the width. And we need to express the surface. I'm assuming the surface of the base. So, to get the area of the base, multiply w * l.

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2 years ago

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What is the value of g(-4)?

vazorg [7]

Answer:

A

Step-by-step explanation:

(because -4 is equal to -4 and meets the condition of the top inequality, you plug in -4 into the top function)

$g(-4)=\sqrt[3]{(-4)+5}\\\\g(-4)=\sqrt[3]{1} =1$

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2 years ago

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